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Finding the Third Proportional to 229.18 and 491.27

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Solution

The third proportional to 229.18 and 491.27 is: 1,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.18 : 491.27 = 491.27 : x
  2. Step 2: Convert to fraction form
    229.18/491.27 = 491.27/x
  3. Step 3: Cross multiply
    229.18x = 491.27 × 491.27
  4. Step 4: Simplify right side
    229.18x = 241,349.59
  5. Step 5: Solve for x
    x = 241,349.59/229.18
  6. Step 6: Final answer
    x = 1,053.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.